What you are using is the graphical user interface (GUI) of the local installed package manager. On the command line you can use it also with
dpkg and others. The package manager is not a service located on the internet and it does not collect or present any statistics like "popularity" and "downloads". Getting the size may be possible because it is an attribute of the package itself. To get statistics of a package you have to look for a service on the web presenting this.
I do not use the GUI but it seems it isn't very flexible to get information about the available software packages. An alternative could be to use the command line. Here are some examples looking for
# update the local package list
~$ sudo apt update
# get all package-names containing word "firefox"
~$ apt list *firefox*
# get all package-names beginning with word "firefox"
~$ apt list firefox*
# get all packages with "firefox" anywhere in its description
~$ apt search firefox
# get size of a package that name begins with "firefox"
~$ apt-cache show firefox* | grep -P '^Package:|^Size:'
--- snip ---
You are free to extract and format any information yau get with
apt-cache show [pattern].